Find the limit of the sequence: 5n²+8n+3 3n² + 8n +7 an

Q: problem finds the derivative of a function at a point using the formal definition. The process is…

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Q: derivative xy = e -xy

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Q: Consider the series. (−1)n+115n-1 (n+3)5 14n+2 In this problem you must attempt to use the Ratio…

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Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: COS 1 lim I→0 x²

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Q: Find the maximum value of the function z = 5x + 7y subject to the following constraints. x+8y≤48…

A: The given objective function Subject to

Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: Find the exact value of each of the following under the given conditions. 6√85 85 5 sin a = 13 (a)…

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 13, ƒ'(0) = 1, f(x) = + f"…

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Q: A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 2 m³/min (see…

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Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: Using the graph of f'(x) find the increasing/decreasing intervals of f, points on  axis which f has…

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Q: 10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. (…

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Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: The Taylor series for f(x)=x³ at 3 is Σen(x-3)". Find the first few coefficients. Co C1 C2 C3 C4 =…

A: The given function is The Taylor series

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. X = = t³,…

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Q: y = sin x y = -cos x

A: 12.The region is bounded by the curves  and .The aim is to find the area of the bounded…

Q: Determine whether the lines LI and L2 are parallel, intersect, or are skew: L1: x= -1 + 4t, y =…

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Q: Find the Maclaurin series of the function f(x) = (4x²)e-³x ∞ (f(x) = Σ cnan) n=0 C1 C3 C4 C5

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Q: Use multiplication or division of power series to find the first three nonzero terms in the…

A: By using multiplication or division of powerseries to find the first three nonzero terms in the…

Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: ying Polynomials Simplify the product using the distril (x-2)(x+6)

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: I have appended the concept used in the solution procedure

Q: Q.1 (B)/ IfD = 3 -2 -2 01 -62, E-first column of D, find K if (K- 10 E'DE). 0 5

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above by…

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Q: Use hyperbolic functions to calculate the integral 1 √49+2:² dx.

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Q: cos(x) - 1 lim 10 esin(z)-1-x

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Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: You are playing on the beach with your dog, Ohana. You throw the ball into the water at a point that…

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Q: What is the Rank of the following matrix? 325 65 13 30-1 OA.O OB. 1 OC.2 OD.3 QUESTION 2 Fill in the…

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Q: et P(x, y) denote the point where the terminal side of angle 8 (in standard position) meets the unit…

A: The figure

Q: SX7UPET dx

A: I=∫x7x4+1dxI=∫x4(x4+1)x3dxI=14∫x4(x4+1)4x3dxSubstitute x4+1=u

Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

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Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Solve the following triangles: (a) a = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7; (c) A = 58°, a…

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Q: f, o x sin(x − y) dxdy = Jo J, x? sin(x − y)dydx

A: ∫−12∫06x2sin⁡(x−y)dxdy=∫06∫−12x2sin⁡(x−y)dydx

Q: Read the scenario carefully to answer the following questions. Ryan Mountain (5,456 ft) is a popular…

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Q: The cost of laying a fibre optic cable underwater is 3 times that of underground. An island is 4 km…

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Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.54x +9.63,…

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…

Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: 6. Find the sum of the series: 100 x5n−1 n!

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 4 ft/min.…

A: A circle has an initial radius of 50 ftr=50 ftRadius begins decreasing at the rate of 4…